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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-13/8, b>=a > For fixed z and a=-13/8, b=23/8





http://functions.wolfram.com/07.23.03.bqfl.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 23/8, 9/2, -z] == (1/(345015 z^(7/2) (1 + z)^(3/8))) (256 (Sqrt[z] (624 + 767 z - 442 z^2 + 2559 z^3 + 4432 z^4 + 1792 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 (208 + 286 z - 117 z^2 + 377 z^3 + 782 z^4 + 336 z^5) Sin[(3 ArcTan[Sqrt[z]])/4]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02